The smallest prime that can be expressed as the sum of the first eleven prime powers of a number plus one. In this case, the number is 312 (i.e., 312^2 + 312^3 + 312^5 + 312^7 + 312^11 + 312^13 + 312^17 + 312^19 + 312^23 + 312^29 + 312^31 + 1 is prime). [Opao]